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Proof step 1 from proof subarray-split-first (conclusion)

⊦ n1 ≠ 0 ∧ n0 + n1 ≤ # ar → subarray(ar, n0, n1) = mkarray(1)[0, ar[n0]] + subarray(ar, n0 + 1, n1 - 1)

System applied rule normalize

And obtained the following new goals

Proof step 2:
n0 + n1 ≤ # ar ⊦ n1 = 0, subarray(ar, n0, n1) = mkarray(1)[0, ar[n0]] + subarray(ar, n0 + 1, n1 - 1)

Rule argument

Additional information